Question

Find the solution of this system of equations. Separate the x- and y-values with a comma. x = -11 + y and 10x - 5y = -10

Answer 1

To find the solution of the given system of equations, we substitute the first equation into the second, solve for y, then for x. The solution is x = 9, y = 20.

Step-by-step explanation:

First, let's identify the equations given in the system:

1. x = -11 + y
2. 10x - 5y = -10

We can use the first equation to express x in terms of y, which is already done: x = -11 + y. Next, we can substitute this expression for x into the second equation.

Step-by-step substitution:

1. Take the first equation: x = -11 + y
2. Substitute into the second equation: 10(-11 + y) - 5y = -10
3. Simplify: -110 + 10y - 5y = -10
4. Combine like terms: 5y = 100
5. Divide by 5: y = 20

Now we have the value of y, we can substitute it back into the first equation to find x:

1. Substitute y = 20 into x = -11 + y
2. x = -11 + 20
3. x = 9

The solution to the system of equations is x = 9, y = 20.

Answer 2

substitute x = -11 + y in 10x - 5y = -10
10(-11+y)-5y=10 distribute 10 with -11 and y
10(-11) + 10(y) - 5y=10 =>> -110 +10y -5y =10
combine like terms -110 +5y=10
add 110 to both sides to get the variable on one side 5y = 10+110 (120)
5y=120 divide both sides by 5 to get variable by itself 120/5=24
so y = 24
now replace the y with 24 to find x
x=-11+24 24 - 11 = 13
x=13
therefore, y=24 and x=13
hope this helps :)