You are given the system of equations to solve by the elimination method, which is an incorrect step that will not produce a system with the same solution? 2x + y = −10 3x + 4y = −20

The solution of system of equation is (-4,-2)

Step-by-step explanation:

The given system of linear equation is

Equation 1:       2x+y=(-10)

Equation 2:      3x+4y=(-20)

Using the Elimination method:

Important step: First multiply equation 1 by 4

we get,

Equation 3:       4(2x+y)=(-40)

Equation 3:       8x+4y=(-40)

Now,

8x+4y=-40   Equation 3

3x+4y=-20   Equation 2

-    -     +

5x+0=(-40)+20

5x=(-20)

x=(-4)

Replacing value of x i any equation

2x+y=(-10)

2(-4)+y=(-10)

(-8)+y=(-10)

y=(-2)

Thus,

The solution of system of equation is (-4,-2)

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

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