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

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

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3x-2y=-1

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

$3 x-2 y=-1$ $\newline$ $y=-x+3$ $\newline$ Is $(1,2)$ 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

3 x-2 y=-1

\newline

y=-x+3

\newline

(1,2)

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