naibfatma naibfatma
  • 24-01-2024
  • Mathematics
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Solve the systems by substitution: -2x+y=4, 3x+y=9

Respuesta :

MisterZeng
MisterZeng MisterZeng
  • 24-01-2024

Answer:

x = 1 and y = 6

(1, 6)

Step-by-step explanation:

Given system of equations:

1. -2x + y = 4

2. 3x + y = 9

Express y in terms of x from the first equation:

y = 2x + 4

Substitute y into the second equation:

3x + (2x + 4) = 9

Combine like terms:

5x + 4 = 9

Subtract 4 from both sides:

5x = 5

Divide by 5:

x = 1

Substitute x back into the expression for y:

y = 2(1) + 4 = 6

So, the solution to the system of equations is x = 1 and y = 6.

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