A: 5x − 2y = 10
B: 4x + 3y = 7

To solve this system of equations by addition, what could you multiply each equation by to cancel out the x-variable?
A) Multiply A by 3 and B by 2
B) Multiply A by 4 and B by 3
C) Multiply A by −3 and B by 2
D) Multiply A by −4 and B by 5

Respuesta :

Answer:

D) Multiply A by -4 and B by 5

Step-by-step explanation:

5x-2y=10

4x+3y=7

----------------

-4(5x-2y)=-4(10)

5(4x+3y)=5(7)

----------------------

-20x+8y=-40

20x+15y=35

---------------------

23y=-5

y=-5/23

5x-2(-5/23)=10

5x+10/23=10

5x=10-10/23

5x=230/23-10/23

5x=220/23

x=(220/23)/5

x=(220/23)(1/5)

x=220/115

x=44/23