Is (1,8) a solution to this system of equations? y = 4x + 4 y = 6x + 2 Choices: (A)yes (B)no

Substitute and Verify: First, we will substitute the point (1,8) into the first equation and check if it holds true. The first equation is y = 4x + 4. If we substitute x=1 and y=8, we get 8 = 4*1 + 4. Check First Equation: After performing the calculation, we find that 8 = 4 + 4, which is true. Therefore, the point (1,8) satisfies the first equation. Check Second Equation: Next, we will substitute the point (1,8) into the second equation and check if it holds true. The second equation is y = 6x + 2. If we substitute x=1 and y=8, we get 8 = 6*1 + 2. Verify Second Equation: After performing the calculation, we find that 8 = 6 + 2, which is also true. Therefore, the point (1,8) satisfies the second equation as well. Solution Confirmation: Since the point (1,8) satisfies both equations, it is a solution to the system of equations.

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Is $(1,8)$ a solution to this system of equations? $\newline$ $y = 4x + 4$ $\newline$ $y = 6x + 2$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

Q. Is

(1,8)

a solution to this system of equations?

\newline

y = 4x + 4

\newline

y = 6x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Verify: First, we will substitute the point $(1,8)$ into the first equation and check if it holds true. The first equation is $y = 4x + 4$ . If we substitute $x=1$ and $y=8$ , we get $8 = 4\times1 + 4$ .
Check First Equation: After performing the calculation, we find that $8 = 4 + 4$ , which is true. Therefore, the point $(1,8)$ satisfies the first equation.
Check Second Equation: Next, we will substitute the point $(1,8)$ into the second equation and check if it holds true. The second equation is $y = 6x + 2$ . If we substitute $x=1$ and $y=8$ , we get $8 = 6 \times 1 + 2$ .
Verify Second Equation: After performing the calculation, we find that $8 = 6 + 2$ , which is also true. Therefore, the point $(1,8)$ satisfies the second equation as well.
Solution Confirmation: Since the point $(1,8)$ satisfies both equations, it is a solution to the system of equations.