Is (2,7) a solution to this system of equations? y = 3x + 1 y = 2x + 5 Choices: (A)yes (B)no

Substitute and Check First Equation: First, we will substitute the point (2,7) into the first equation and check if it holds true. The first equation is y = 3x + 1. If we substitute x=2 and y=7, we get 7 = 3*2 + 1. Check First Equation Result: After performing the calculation, we find that 7 = 6 + 1, which simplifies to 7 = 7. This is true. Therefore, the point (2,7) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (2,7) into the second equation and check if it holds true. The second equation is y = 2x + 5. If we substitute x=2 and y=7, we get 7 = 2*2 + 5. Check Second Equation Result: After performing the calculation, we find that 7 = 4 + 5, which simplifies to 7 = 9. This is not true. Therefore, the point (2,7) does not satisfy the second equation. Final Solution Determination: Since the point (2,7) does not satisfy both equations, it is not a solution to the system of equations.

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Is $(2,7)$ a solution to this system of equations? $\newline$ $y = 3x + 1$ $\newline$ $y = 2x + 5$ $\newline$ 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

(2,7)

a solution to this system of equations?

\newline

y = 3x + 1

\newline

y = 2x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Check First Equation: First, we will substitute the point $(2,7)$ into the first equation and check if it holds true. The first equation is $y = 3x + 1$ . If we substitute $x=2$ and $y=7$ , we get $7 = 3 \times 2 + 1$ .
Check First Equation Result: After performing the calculation, we find that $7 = 6 + 1$ , which simplifies to $7 = 7$ . This is true. Therefore, the point $(2,7)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(2,7)$ into the second equation and check if it holds true. The second equation is $y = 2x + 5$ . If we substitute $x=2$ and $y=7$ , we get $7 = 2\times 2 + 5$ .
Check Second Equation Result: After performing the calculation, we find that $7 = 4 + 5$ , which simplifies to $7 = 9$ . This is not true. Therefore, the point $(2,7)$ does not satisfy the second equation.
Final Solution Determination: Since the point $(2,7)$ does not satisfy both equations, it is not a solution to the system of equations.