Answer:
x = 0 when y = 5
or
x = -2 when y = 0
Explanation:
-5x + 2y = 10
To find the values of x and y you will have to substitute in 0 for the opposite variable you are trying to solve for.
To find the value of y, substitute 0 in for x.
-5(0) + 2y = 10
Multiply -5 and 0 together and rewrite the equation.
2y = 10
Divide both sides by 2 to isolate and solve for the variable y.
y = 5
Putting this into a coordinate would look like (x, y) => (0, 5).
To find x substitute 0 in for y.
-5x + 2(0) = 10
Multiply 2 and 0 together.
-5x = 10
Divide both sides by -5 to isolate and solve for x.
x = -2
Putting this as a coordinate would look like (-2, 0).
Since we got the two ordered pairs as (0, 5) and (-2, 0), then we can say that the two answers are that:
x = 0 when y = 5 or x = -2 when y = 0.
You can check to make sure these are correct by substituting these values we have found back into the equation -5x + 2y = 10.
x = 0, y = 5
-5(0) + 2(5) = 10
0 + 10 = 10 => 10 = 10 is TRUE, so this means that the solution (0, 5) is correct.
x = -2, y = 0
-5(-2) + 2(0) = 10
10 + 0 = 10 => 10 = 10 is also TRUE, so this means that the solution (-2, 0) is correct as well.