Solve the following system of equations using substitution. What is the value of Y?
2x+3y=105
x+2y=65
A. 15
B. 25
C. 40
D. 65
Unit 7 Unit 2 Questions
1: B (0)
2: C (50)
3: C (8)
4: B (25)
5: D (no solution)
To solve the system of equations using substitution, follow these steps:
Step 1: Solve one of the equations for x or y in terms of the other variable.
Let's solve the second equation for x:
x = 65 - 2y
Step 2: Substitute the expression you found for x into the other equation in the system.
Substituting x = 65 - 2y into the first equation, we get:
2(65 - 2y) + 3y = 105
Step 3: Simplify and solve for y.
Distribute the 2:
130 - 4y + 3y = 105
Combine like terms:
130 - y = 105
Subtract 130 from both sides:
-y = -25
Multiply both sides by -1 to isolate y:
y = 25
So the value of y is 25.
Therefore, the correct answer is B. 25.
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