Is (2,8) a solution to this system of equations? y = 3x + 2 y = 4x Choices: (A)yes (B)no

Substitute and Verify First Equation: First, we will substitute the point (2,8) into the first equation and check if it holds true. The first equation is y = 3x + 2. If we substitute x=2 and y=8, we get 8 = 3*2 + 2. Check First Equation: After performing the calculation, we find that 8 = 6 + 2, which simplifies to 8 = 8. This is true, so the point (2,8) satisfies the first equation. Substitute and Verify Second Equation: Next, we will substitute the point (2,8) into the second equation and check if it holds true. The second equation is y = 4x. If we substitute x=2 and y=8, we get 8 = 4*2. Check Second Equation: After performing the calculation, we find that 8 = 8, which is also true. Therefore, the point (2,8) satisfies the second equation as well. Solution Verification: Since the point (2,8) satisfies both equations, it is a solution to the system of equations.

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Is $(2,8)$ a solution to this system of equations? $\newline$ $y = 3x + 2$ $\newline$ $y = 4x$ $\newline$ 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

(2,8)

a solution to this system of equations?

\newline

y = 3x + 2

\newline

y = 4x

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Verify First Equation: First, we will substitute the point $(2,8)$ into the first equation and check if it holds true. The first equation is $y = 3x + 2$ . If we substitute $x=2$ and $y=8$ , we get $8 = 3\times 2 + 2$ .
Check First Equation: After performing the calculation, we find that $8 = 6 + 2$ , which simplifies to $8 = 8$ . This is true, so the point $(2,8)$ satisfies the first equation.
Substitute and Verify Second Equation: Next, we will substitute the point $(2,8)$ into the second equation and check if it holds true. The second equation is $y = 4x$ . If we substitute $x=2$ and $y=8$ , we get $8 = 4\times 2$ .
Check Second Equation: After performing the calculation, we find that $8 = 8$ , which is also true. Therefore, the point $(2,8)$ satisfies the second equation as well.
Solution Verification: Since the point $(2,8)$ satisfies both equations, it is a solution to the system of equations.