Respuesta :
The solution to the system of equations is (7 , 10.5).
What is syustem of equations ?
Systems of equations are collections of equations where the intersection point (s) between the equations serves as the solution. The majority of the equation systems you encounter in algebra are collections of two linear equations with the formula Ax + By = C.
y = 2x - 3.5 …. (1)
x - 2y = -14 …. (2)
Let us use the elimination method to solve the system of linear equations.
Multiply equation (1) by 2
2y = 4x - 7
- 4x + 2y = -7 …. (3)
By adding equation (2) and (3)
- 3x = - 21
Divide both sides by - 3
x = 7
Substitute the value of x in equation (1)
y = 2 (7) - 3.5
By further calculation
y = 14 - 3.5
y = 10.5
Therefore, the solution to yhe system of equations is (7, 10.5).
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