Question

use the method of substitution to solve the system of linear equations 3x-y=2 7x-2y=8

Answer 1

Solve the first equation for y.
Then substitute in second equation.

Answer 2

im still confused

Answer 3

so the second answer would be done the same

Answer 4

The first equation is:

3x - y = 2

Since y is not being multiplied by a number, it's easy to solve that equation for y:

3x = y + 2
3x - 2 = y

Now that we know y = 3x - 2, we substitute that for y in the second equation:

7x - 2y = 8
7x -2(3x - 2) = 8
7x - 6x + 4 = 8
x + 4 = 8
x = 4

Now we substitute the value of x into the first equation to find y:

3x - y = 2
3(4) - y = 2
12 - y = 2
-y = -10
y = 10

The solution is x = 4 and y = 10

Answer 5

@Kenneditodd wrote:

"3x-y=2
-y=-3x+2
y=3x-2
then substitute y into the second equation
7x-2y=8
x-2(3x-2)=8
x-6x+4=8
-5x+4=8
-5x=4
x=-4/5"

From the line
7x-2y=8

to the line
x-2(3x-2)=8

you brought down x instead of 7x. That's why your answer is incorrect.

Answer 6

thanks! oops!

Answer 7

No problem. It happens to all of us.

Answer 8

so what is the correct answer may I ask

Answer 9

4, 10

Answer 10

thanks

Answer 11

wlcm