How do you solve this system to find x and y? what is x and y?
3x + 4y = 8
y = 3x + 17
To solve this system of equations and find the values of x and y, you can use one of the common methods called substitution.
Step 1: Start with the given equations:
- 3x + 4y = 8
- y = 3x + 17
Step 2: Solve one of the equations for one of the variables. In this case, the second equation is already solved for y. So, let's substitute the value of y from the second equation into the first equation.
3x + 4(3x + 17) = 8
Step 3: Simplify the equation by distributing 4 to each term inside the parentheses.
3x + 12x + 68 = 8
Step 4: Combine like terms.
15x + 68 = 8
Step 5: Solve for x by subtracting 68 from both sides.
15x = -60
Step 6: Divide both sides by 15 to isolate x.
x = -4
Step 7: Substitute the value of x back into the second equation to find y.
y = 3(-4) + 17
y = -12 + 17
y = 5
So, the solution to the system of equations is x = -4 and y = 5.