Question

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

Answer 1

Answer:

The slopes and the y-intercepts are different.

Step-by-step explanation:

1. that what i got

Answer 2

Answer:

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

Step-by-step 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)