Question

Solve the system using the method of your choice: y = 3x – 4

2x + 4y = 26

Answer 1

substitution ok with you ?

Answer 2

y = 3x - 4.....so we sub in 3x - 4 for y back into the other equation

2x + 4y = 26
2x + 4(3x - 4) = 26 --- distribute through the parenthesis
2x + 12x - 16 = 26 --- add 16 from both sides
2x + 12x = 26 + 16 -- combine terms
14x = 42
x = 42/14
x = 3

now sub 3 in for x in either equation to find y
y = 3x - 4
y = 3(3) - 4
y = 9 - 4
y = 5

we can even check our answers
2x + 4y = 26
2(3) + 4(5) = 26
6 + 20 = 26
26 = 26 (correct)

so x = 3 and y = 5....or (3,5)

Answer 3

thank you!:)