Question

2r - 4y=-1
r=7-3y


what is the solution for y and r

Answer 1

To solve the provided system of equations, we use the substitution method. By substituting the second equation into the first and solving for y, we get y = 1.5. Plugging y back into the second equation gives us r = 2.5, which is the solution for the system.

Step-by-step explanation:

The problem presents two equations:
1) 2r - 4y = -1
2) r = 7 - 3y

To find the solution for y and r, we can use the substitution method. Substitute the expression for r from the second equation into the first equation:

2(7 - 3y) - 4y = -1
14 - 6y - 4y = -1
-10y = -15
y = 1.5

Now plug the value of y back into the second equation to find r:

r = 7 - 3(1.5)
r = 7 - 4.5
r = 2.5

Therefore, the solution for the system of equations is y = 1.5 and r = 2.5.