Answer:
x = -7/2 and y = -11/2
Explanation:
These equations are known as slope-intercept equations.
Slope-intercept equation are a type of linear equation.
The slope-intercept format is: y = mx + b
- m = the slope
- b = the y-intercept
Because there are two equations, this would be a system of equations.
So, to figure this out, we need to use the substitution method.
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Problem:
Solve y=x−2;y=3x+5
Solution:
Step: Solve y=x−2 for y:
Step: Substitute x-2 for y in y = 3x + 5:
y = 3x + 5
x - 2 = 3x + 5
x−2+−3x=3x+5+−3x(Add -3x to both sides)
−2x−2=5
−2x−2+2=5+2(Add 2 to both sides)
−2x=7
-2x/-2 = 7/-2 (Divide both sides by -2)
x = -7/2
Step: Substitute -7/2 for x in y = x - 2:
y = x - 2
y = -7/2 - 2
y = -11/2(Simplify both sides of the equation)
Answer:
x = -7/2 and y = -11/2