Question

Find the value x which satisfies the following simultaneous equations: 2x + 5y = 18 3x + 4y = 20

190

likes
948 views

Answer to a math question Find the value x which satisfies the following simultaneous equations: 2x + 5y = 18 3x + 4y = 20

Expert avatar
Esmeralda
4.7
101 Answers
To find the value of x that satisfies the simultaneous equations: Equation 1: 2x + 5y = 18 Equation 2: 3x + 4y = 20 We can solve this system of equations using the method of substitution or elimination. Let's use the method of elimination: Multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the x terms: Equation 1: 6x + 15y = 54 Equation 2: 6x + 8y = 40 Now, subtract Equation 2 from Equation 1: (6x + 15y) - (6x + 8y) = 54 - 40 6x - 6x + 15y - 8y = 14 7y = 14 Divide both sides of the equation by 7: 7y/7 = 14/7 y = 2 Now, substitute the value of y back into either Equation 1 or Equation 2. Let's use Equation 1: 2x + 5y = 18 2x + 5(2) = 18 2x + 10 = 18 2x = 18 - 10 2x = 8 Divide both sides of the equation by 2: 2x/2 = 8/2 x = 4 Therefore, the value of x that satisfies the given simultaneous equations is x = 4.

Frequently asked questions (FAQs)
Question: How many ways can you arrange the letters "MATH" using the permutation formula?
+
What is the value of 7 raised to the power of 5 divided by the square root of 64?
+
What is the volume of a sphere with radius 3?
+
New questions in Mathematics
Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
String x = 5 Int y=2 System.out.println(x+y)
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
Derivative of x squared
What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?
-3x 2y = -6; -5x 10y = 30
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
is the x element (180,270), if tanx-3cotx=2, sinx ?
4x + 8y = 5 2x + 4y = 10
20% of 3500
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
cube root of 56
A natural gas company has a fixed rate of 1,320 pesos plus 1,590 pesos per cubic meter of gas consumed monthly per customer. Indicate the cost function to determine the value in pesos of the cubic meters of gas consumed in a month per customer. How much did a customer who consumed 18 cubic meters of gas pay? If a customer paid 34,710 pesos, how many cubic meters of gas did he consume?
Find the vertex F(x)=x^2-10x
Log0
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
4m - 3t + 7 = 16
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.