Solve the system by elimination.

Question

3x+4y=7

6x-7y=44

Answer 1

x=5, y = -2

graph the two equations and find their intersection point

(x,y) = (5,-2)

or use algebra with substitution elimination

check the answer

3(5) + 4(-2) = 15-8 = 7

and

6(5) -7(-2) = 30 +14 = 44

they work

Answer 2

3X + 4y = 7

6X - 7Y =44

From eq 1

3X = 7-4Y Multiply by 2 on both sides

so 6X =14- 8Y

Plug in eq 2

14 -8Y -7Y =44

14 - 15 Y =44

-15 y = 44-14

X = 5

-15 Y = 30

Y = -2

Plug in for Y

and get X