Question

Which ordered pair satisfies the system of equations below?

X - 2y = 1
X + 4y = 7

A. (-3,1)
B. (3,-1)
C. (-3,-1)
D. (3,1)

PLEASE HELP ♡

Answer 1

D. (3,1)

Explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

`x-2y=1,x+4y=7`

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

`x-2y=1`

Add 2y to both sides of the equation

`x=2y+1`

Substitute 2y+1 for x in the other equation, x+4y=7.

`2y+1+4y=7`

Add 2y to 4y.

`6y+1=7`

Subtract 1 from both sides of the equation

`6y=6`

Divide both sides by 6.

`y=1`

Substitute 1 for y in x=2y+1. Because the resulting equation contains only one variable, you can solve for x directly.

`x=2+1`

Add 1 to 2.

`x=3`

The system is now solved.

`x=3,y=1`

I hope this heps you

:)