Question

Given:

y = 1/3x + 6
y = 1/4x + 3
Explain how you would solve for y in the solution set

Please help!!

Answer 1

Explanation:

y = 1/3x + 6

y = 1/4x + 3

this is just a matter of substitution...subbing in one y for the other

y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work

1/3x + 6 = 1/4x + 3

1/3x - 1/4x = 3 - 6

4/12x - 3/12x = -3

1/12x = -3

x = -3 * 12

x = - 36

now sub that back into either of ur original equations to find y

y = 1/3x + 6

y = 1/3(-36) + 6

y = - 12 + 6

y = - 6

solution is : x = -36 and y = -6 or (-36,-6)