solve the system of equations graphed on the coordinate axes below.\n$y = -2x - 1$\n$y = 3x + 4$

Explanation:

Step1: Set the two equations equal

Since both equations are solved for ( y ), we can set them equal to each other: ( -2x - 1 = 3x + 4 )

Step2: Solve for ( x )

Add ( 2x ) to both sides: ( -1 = 5x + 4 ) Subtract ( 4 ) from both sides: ( -5 = 5x ) Divide both sides by ( 5 ): ( x = -1 )

Step3: Substitute ( x ) back to find ( y )

Substitute ( x = -1 ) into one of the original equations, say ( y = 3x + 4 ): ( y = 3(-1) + 4 = -3 + 4 = 1 )

Answer:

The solution to the system is ( x = -1 ), ( y = 1 ) or the ordered pair ( (-1, 1) )