Solve the system 4x + 2y = 10 x = y + 13

Question

asked May 17, 2021 129k views

2 Answers

Imekinox · Answer 1 · 2021-05-19T16:16:48+0000

Answer: (6,-7)

Explanation:

4x +2y = 10

x = y + 13 Substitute the value of x into the first equation to solve for y.

4(y + 13) +2y = 10 apply the distributive property on the left side

4y + 52 + 2y = 10 Combine like terms on the left side

6y + 52 = 10 Subtract 52 from both sides

-52 -52

6y = -42

y= -7

The value of y so input it into one of the equations to solve for x

4x + 2(-7) = 10

4x - 14 = 10

+14 +14

4x = 24

x= 6

Retsam · Answer 2 · 2021-05-21T20:51:48+0000

Answer:

x = 6

y = -7

Explanation:

We have the system of equations:

$4x+2y=10\\x=y+13$

Let's solve by substituting. We know that
x=y+13 , so we can substitute
y+13 in as
in the equation
4x+2y=10 .

4(y+13) + 2y = 10

Simplify this down so that we have
on one side of the equation:

$4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7$

Now that we know the value of
, we can substitute it in to the equation
x = y+13 to find
.

$x = -7+13\\\\x = 6$

Hope this helped!