Solve the following systems of equations express the answer as an ordered pair in the format (a, b) with no spaces between the numbers or symbols 2x7y=-7 and -4x-3y=-19

(7, -3)

Step-by-step explanation:

The correct system is 2x+7y=-7 and -4x-3y=-19.

Equation (1) will be , and equation (2)

Let's solve our system of equations using elimination:

Step 1. Multiply equation (1) by 2 and add the result to equation (2) and solve for y

 4x + 14y = -14) +

-4x - 3y = -19

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       11y = -33

        equation (3)

Step 2. Replace equation (3) in equation (1) and solve for x

We can conclude that the solution of the system of equations is (7, -3)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3