Solve by addition or substitution;
10x + 2y = 7
y= -5 + 3
Substitute y in the first equation with the second equation.
10x + 2(-5+ 3) = 7
10x + -10 + 6 = 7
10x - 4 = 7
10x = 11
x = (11/10), or 1.1
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To solve the given system of equations:
Equation 1: 10x + 2y = 7
Equation 2: y = -5 + 3
We can use the method of substitution. Let's substitute Equation 2 into Equation 1 and solve for x.
Substitute y from Equation 2 into Equation 1:
10x + 2(-5 + 3) = 7
Simplify:
10x - 10 + 6 = 7
10x - 4 = 7
Now, isolate the variable x:
10x = 7 + 4
10x = 11
Divide both sides by 10:
x = 11/10
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = -5 + 3
y = -2
Therefore, the solution to the given system of equations is x = 11/10 and y = -2.