Question

{ 2x + 4y 13

{ x - 3y + -11
Based on the system of equations above, what is the value of the sum of x and y?

A. -1/2
B. 3
C. 3 1/2
D. 4

Answer 1

The value of the sum of x and y is 3.

Step-by-step explanation:

To find the value of x and y, we need to solve the system of equations given:

2x + 4y = 13 (Equation 1)

x - 3y = -11 (Equation 2)

We can solve this system of equations by using the method of substitution or elimination. Let's use the method of substitution:

1. From Equation 2, solve for x: x = -11 + 3y
2. Substitute x = -11 + 3y into Equation 1: 2(-11 + 3y) + 4y = 13
3. Simplify and solve for y: -22 + 6y + 4y = 13
4. Combine like terms: 10y - 22 = 13
5. Add 22 to both sides: 10y = 35
6. Divide both sides by 10: y = 3.5
7. Substitute y = 3.5 into Equation 2 to find x: x - 3(3.5) = -11
8. Simplify and solve for x: x - 10.5 = -11
9. Add 10.5 to both sides: x = -0.5

Therefore, the sum of x and y is -0.5 + 3.5 = 3.