y=5x-2
6x+3y=15
Please help me solve this system of equation and show your work thanks
lol, plug 5x-2 into the second equation
6x + 3(5x-2) = 15
solve for x
Show your work
To solve this system of equations, we can use the method of substitution or elimination. I will demonstrate the substitution method.
Given the equations:
1) y = 5x - 2
2) 6x + 3y = 15
Step 1: Substitute the expression for y from equation (1) into equation (2).
Replace y in equation (2) with (5x - 2):
6x + 3(5x - 2) = 15
Step 2: Simplify and solve for x.
Multiply 3 by each term inside the parentheses:
6x + 15x - 6 = 15
Combine like terms:
21x - 6 = 15
Add 6 to both sides:
21x = 21
Divide both sides by 21:
x = 1
Step 3: Substitute the value of x back into one of the original equations to solve for y.
Using equation (1) to solve for y:
y = 5(1) - 2
y = 5 - 2
y = 3
Therefore, the solution to the system of equations is x = 1 and y = 3.