y=2x+1 x-y=-3 Is (2,5) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (2,5) into the first equation and check if it holds true. The first equation is y = 2x + 1. If we substitute x=2 and y=5, we get 5 = 2*2 + 1. Verify First Equation: After performing the calculation, we find that 5 = 4 + 1, which simplifies to 5 = 5, which is true. Therefore, the point (2,5) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (2,5) into the second equation and check if it holds true. The second equation is x - y = -3. If we substitute x=2 and y=5, we get 2 - 5 = -3. Verify Second Equation: After performing the calculation, we find that 2 - 5 = -3, which is also true. Therefore, the point (2,5) satisfies the second equation as well. Solution to the System of Equations: Since the point (2,5) satisfies both equations, it is a solution to the system of equations.

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y=2x+1

x-y=-3
Is
(2,5) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=2 x+1$ $\newline$ $x-y=-3$ $\newline$ Is $(2,5)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

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

Full solution

y=2 x+1

\newline

x-y=-3

\newline

(2,5)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substitute and Check First Equation: First, we will substitute the point $(2,5)$ into the first equation and check if it holds true. The first equation is $y = 2x + 1$ . If we substitute $x=2$ and $y=5$ , we get $5 = 2 \times 2 + 1$ .
Verify First Equation: After performing the calculation, we find that $5 = 4 + 1$ , which simplifies to $5 = 5$ , which is true. Therefore, the point $(2,5)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(2,5)$ into the second equation and check if it holds true. The second equation is $x - y = -3$ . If we substitute $x=2$ and $y=5$ , we get $2 - 5 = -3$ .
Verify Second Equation: After performing the calculation, we find that $2 - 5 = -3$ , which is also true. Therefore, the point $(2,5)$ satisfies the second equation as well.
Solution to the System of Equations: Since the point $(2,5)$ satisfies both equations, it is a solution to the system of equations.