y=2x-1 5x-4y=1 Is (1,1) a solution of the system? Choose 1 answer: (A) Yes (B) No

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

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y=2x-1

5x-4y=1
Is
(1,1) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=2 x-1$ $\newline$ $5 x-4 y=1$ $\newline$ Is $(1,1)$ 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

5 x-4 y=1

\newline

(1,1)

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