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What is the solution to this system of equations?

y+2=3x-3
y = -2x + 10

A. (13/5,24/5)
B. (24/5,13/5)
C. (3,4)
D. (4,3)

User Jeson Dias
by
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2 Answers

6 votes

Answer:

The answer is b

Explanation:

User Manimaran Selvan
by
7.8k points
5 votes

Answer:

To find the solution to the given system of equations, we can use the method of substitution or elimination. Let's solve it using the substitution method:

1. Start with the first equation: y + 2 = 3x - 3.

2. Solve this equation for y by subtracting 2 from both sides: y = 3x - 5.

3. Substitute the value of y in the second equation with 3x - 5: 3x - 5 = -2x + 10.

4. Simplify the equation by adding 2x to both sides: 5x - 5 = 10.

5. Add 5 to both sides to isolate the variable: 5x = 15.

6. Divide both sides by 5 to solve for x: x = 3.

7. Now, substitute the value of x into the first equation: y = 3(3) - 5.

8. Simplify the equation: y = 4.

Therefore, the solution to the system of equations is (x, y) = (3, 4).

So, the correct answer is C. (3, 4).

Explanation:

User Matheus Lacerda
by
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