Solve the system of equations using substitution.
-
A)x = 5, y = 10 or (5, 10)

Question

Quizplus · Accepted Answer

- Solve the first equation for x: x = y - 5
- Substitute x into the second equation: y + (y - 5) = 15
- Simplify and solve for y: 2y - 5 = 15, 2y = 20, y = 10
- Substitute y back into the first equation: x = 10 - 5, x = 5
- The solution is (5, 10) or x = 5 and y = 10 Given system of equations:
2x - y = 0
x + 3y = 20

Using the first equation, we can express y in terms of x:
y = 2x
Substitute this into the second equation:
x + 3(2x) = 20
Solve for x:
x = 5
Substitute x = 5 back into y = 2x:
y = 10

Therefore, the solution to the system of equations is x = 5, y = 10, or the point (5,10). Choice A is correct.

Solve the System of Equations Using Substitution