The value of x = 3 and y = 20 in the system of equations y = 6x + 2
y = x + 17.
What is substitution method in system of equations?
Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. Rewrite the equation with the value to determine the matching variable.
Given :
y = 6x + 2
y = x + 17
Solving y=6x+2 for y:
y = 6x+2
Substituting 6x+2 for y in y=x+17:
y = x+17
6x+2 = x+17
6x+2+(−x)=x+17+(−x)(Adding -x to both sides)
5x+2=17
5x+2+(−2)=17+(−2)(Adding -2 to both sides)
5x = 15
5x / 5 = 15 / 5
(Dividing both sides by 5)
x=3
Substituting 3 for x in y = 6x+2:
y = 6x+2
y = (6)(3)+2
y = 20 (Simplifying both sides of the equation)
Therefore, The value of x = 3 and y = 20 in the system of equations y = 6x + 2 and y = x + 17.
To learn more about the system of equations, refer to :
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