Answered

Which equation does the graph of the systems of equations solve?


2 linear graphs. They intersect at 1,2


x + 4 = −2x − 1

x + 2 = −3x + 1

−x + 3 = 3x − 1

x + 3 = 2x − 1

Verified Answer :

nobillionaireNobley

We substitute the point of intesection (1, 2) into the given options to see that only -x + 3 = 3x - 1 satisfies the graphs.
i.e. -x + 3 = -1 + 3 = 2
3x - 1 = 3(1) - 1 = 3 - 1 = 2.

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that two linear graphs intersect at (1,2). It means the solution of both lines is x=1 and y=2.

The equation which is satisfied by x=1 will be the required equation.

In option (1),

\(x+4=-2x-1\)

Substitute x=1.

\((1)+4=-2(1)-1\)

\(5 eq -3\)

Option 1 is incorrect.

In option (2),

\(x+2=-3x+1\)

Substitute x=1.

\((1)+2=-3(1)+1\)

\(3 eq -2\)

Option 2 is incorrect.

In option (3),

\(-x+3=3x-1\)

Substitute x=1.

\(-(1)+3=3(1)-1\)

\(2=2\)

Option 3 is correct.

In option (1),

\(x+3=2x-1\)

Substitute x=1.

\((1)+3=2(1)-1\)

\(4 eq 1\)

Option 4 is incorrect.

Therefore the correct option is 3.

Related Questions