Question

Help ASAP please!! Thank you!!

"Use the linear combination method to solve the system of equations. Show your work"
x-3y=13
2x+4y=-4

Answer 1

Solution for the system of linear equations is (4, - 3)

Explanation:

Step 1:

Given system of equations

x - 3y = 13 -------- (1)

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

Step 2:

Multiply eq(2) with 2 to make coefficients of x equal.

2x - 6y = 26 ------ (3)

Step 3:

Subtract eq(2) from eq(3)

⇒ - 10y = 30

⇒ y = -3

Step 4:

Find value of x by substituting value of y in eq(1)

⇒ x - 3 × (-3) = 13

⇒ x + 9 = 13

⇒ x = 4