Answer:
y = 5
x = 1
Step-by-step explanation:
y = 3x + 2
-4x + 4(3x+2)=16
y=3x+2
-4x+(4*3x+4*2)=16
x = 1
y = 5
Answer:
x-coordinate = 1
y-coordinate = 5
Step-by-step explanation:
By using the substitution method, we substitute either x-term or y-term in any equation.
the term must be only the subject in order to substitute in.
Our equation that has only the subject is the first equation.
Substitute y = 3x+2 in the second equation.
[tex] - 4x + 4(3x + 2) = 16[/tex]
Distribute 4 in 3x+2
[tex] - 4x + 12x + 8 = 16[/tex]
The constant cannot add up or subtract with the variable. Therefore, move 8 to subtract 16 on another side.
[tex]12x - 4x = 16 - 8 \\ 8x = 8[/tex]
Move 8 to divide 8 on the another side.
[tex]x = \frac{8}{8} \\ x = 1[/tex]
Our next goal is to find the y-value by substituting x = 1 in any given equation.
I will substitute x = 1 in the first equation. (You can substitute in the second equation if you want.)
[tex]y = 3(1) + 2 \\ y = 3 + 2 \\ y = 5[/tex]
Answer Check
Checking is to make sure that we have got the right answer. We can check the answer by substituting y-value and x-value in both equations.
[tex]x = 1 \\ y = 5[/tex]
First Equation Check
[tex]5 = 3(1) + 2 \\ 5 = 3 + 2 \\ 5 = 5[/tex]
The equation is true. Therefore, the answer is correct for first equation.
Second Equation Check
[tex] - 4(1) + 4(5) = 16 \\ - 4 + 20 = 16 \\ 16 = 16[/tex]
The equation is true. Both equations are true for x = 1 and y = 5.
Therefore, the answer is (1,5)
