Question

What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60

Answer 1

Answer:

$y = \frac{224}{15}$

Step-by-step explanation:

Given

$y = 7x + 14$

$2x + 4y = 60$

Required

Find y

First, substitute 7x + 14 for y in the second equation:

$2x + 4y = 60$ becomes

$2x + 4(7x + 14) =60$

Open bracket

$2x + 28x + 56 = 60$

$30x = 60 - 56$

$30x = 4$

Solve for x

$x = \frac{4}{30}$

$x = \frac{2}{15}$

$y = 7x + 14$ becomes

$y = 7 * \frac{2}{15} + 14$

$y = \frac{14}{15} + 14$

$y = \frac{210+14}{15}$

$y = \frac{224}{15}$

Hence:

$y = \frac{224}{15}$