Question

Solve the system.2x + y = 3 −2y = 14 − 6x

Write each equation in slope-intercept form.

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Answer 1

The slopes and the y-intercepts are different.

Explanation:

1. that what i got

Answer 2

The solution of the system is the point (2,-1)

Explanation:

we know that

The equation of the line in slope -intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`2x+y=3`

Isolate the variable y

subtract 2x both sides

`y=-2x+3` ----> equation A

`-2y=14-6x`

isolate the variable y

Multiply by -1 both sides

`2y=6x-14`

Divide by 2 both sides

`y=3x-7` -----> equation B

we have

`y=-2x+3` ----> equation A

`y=3x-7` -----> equation B

solve the system by substitution

substitute equation A in equation B

`3x-7=-2x+3`

solve for x

`3x+2x=7+3\\5x=10\\x=2`

Find the value of y

`y=-2(2)+3=-1`

therefore

The solution of the system is the point (2,-1)