What is the system of solution
4x-y =-3
6x-y=-8
5,5.5
-2.5,-7
-2.5,2.2
2.5,-7
To solve the system of equations:
4x - y = -3 ----(1)
6x - y = -8 ----(2)
You can solve this system using different methods such as substitution, elimination, or matrix method.
Using the substitution method:
From equation (1), rearrange it to solve for y:
y = 4x + 3
Substitute this value for y in equation (2):
6x - (4x + 3) = -8
6x - 4x - 3 = -8
2x - 3 = -8
Add 3 to both sides:
2x = -5
Divide by 2:
x = -5/2 = -2.5
Now substitute the value of x back into equation (1) to find y:
4(-2.5) - y = -3
-10 - y = -3
Add 10 to both sides:
-y = 7
Multiply by -1:
y = -7
Therefore, the solution to the system of equations is x = -2.5, y = -7.
To solve the system of equations:
4x - y = -3 (Equation 1)
6x - y = -8 (Equation 2)
Step 1: Let's solve the system of equations using the method of substitution.
From Equation 1, we can isolate y:
y = 4x + 3
Step 2: Substitute the value of y in Equation 2 with 4x + 3:
6x - (4x + 3) = -8
Step 3: Simplify the equation:
6x - 4x - 3 = -8
2x - 3 = -8
Step 4: Add 3 to both sides of the equation to isolate the term with x:
2x = -5
Step 5: Divide both sides of the equation by 2 to solve for x:
x = -5/2
Step 6: Substitute the value of x into Equation 1 to find y:
4(-5/2) - y = -3
-10 - y = -3
Step 7: Add 10 to both sides of the equation to isolate the term with y:
-y = -3 + 10
-y = 7
Step 8: Multiply both sides of the equation by -1 to solve for y:
y = -7
Therefore, the solution to the system of equations is x = -5/2 and y = -7.