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6 votes
Solve the system of equations
4x-y=10
y=2x-2

User ConceptRat
by
7.7k points

2 Answers

1 vote

Final answer:

To solve the system of equations 4x-y=10 and y=2x-2, we can use the method of substitution. The solution to the system of equations is x = 4 and y = 6.

Step-by-step explanation:

To solve the system of equations 4x-y=10 and y=2x-2, we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for y:

y = 2x - 2

Now we substitute this value of y into the first equation:

4x - (2x - 2) = 10

4x - 2x + 2 = 10

2x + 2 = 10

2x = 8

x = 4

Now substitute the value of x back into the second equation to find y:

y = 2(4) - 2

y = 8 - 2 = 6

Therefore, the solution to the system of equations is x = 4 and y = 6.

2 votes

Answer:

y=2/3 x=-5/3

Step-by-step explanation:

User Jonathan Ivgi
by
8.4k points

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