Answer:
Solution: x = 8, y = -24 or (8, -24)
Step-by-step explanation:
Given the systems of linear equations, 4x + y = 8 and -3x - y = 0:
We can find the solution by using the elimination method since the variable, y, has opposite signs. Simply add the two equations and solve for the value of x:
Equation 1: 4x + y = 8
Equation 2: -3x - y = 0
4x + y = 8
+ -3x - y = 0
x = 8
Next, substitute the value of x = 8 into either one of the equations to solve for y:
4x + y = 8
4(8) + y = 8
32 + y = 8
Subtract 32 from both sides:
32 - 32 + y = 8 - 32
y = -24
Therefore, the solutions to the given systems of linear equations are:
x = 8, y = -24 or (8, -24)
