Question

Solve the SYSTEM!!!!!
2x - 4y = 4
x + 4y = 14
a. 2,6
b. 4,6
c. 6,2
d. 6,4

Answer 1

@iGreen

Answer 2

do you prefer substitution or elimination ?

Answer 3

substitution is probably easier in this problem...so here we go..

x + 4y = 14 --- subtract 4y from both sides
x = -4y + 14
I wanted to isolate a variable and x was the easiest to isolate. So now we know x = -4y + 14....so sub that in for x in the other equation.

2x - 4y = 4
2(-4y + 14) - 4y = 4 --- distribute through the parenthesis
-8y + 28 - 4y = 4 -- subtract 28 from both sides
-8y - 4y = 4 - 28 -- combine like terms
-12y = -24 -- divide both sides by -12
y = 2

now sub 2 in for y in either equation to find x
x + 4y = 14
x + 4(2) = 14
x + 8 = 14
x = 14 - 8
x = 6

so your solution is : (6,2)

Answer 4

thanks so much!!!!!