Question

Find the sum of x and y
y=3x-2
2y=4x+10

Answer 1

26

Explanation:

You want the value of x+y at the solution for the system of equations ...

• y = 3x -2
• 2y = 4x +10

Substitution

Substituting for y, we have ...

2(3x -2) = 4x +10

6x -4 = 4x +10

2x = 14

x = 7

X+Y

Adding x to the first equation gives ...

x +y = 4x -2

x +y = 4(7) -2

x + y = 26

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Additional comment

The attached graph shows the solution to the equations to be (x, y) = (7, 19). Then x+y = 7 +19 = 26.