Question

Solve the following system of equations. Express your answer as an ordered pair in the format (a, b) with no space between the numbers or symbols.

Answer 1

The solution to the system of equations 2x+7y=-1 and 4x-3y=-19 is the ordered pair (-4, 1) found using the elimination method.

To solve the system of equations 2x+7y=-1 and 4x-3y=-19, we can use the method of substitution or elimination. Let's use the elimination method:

First, we want to eliminate one of the variables by making the coefficients of either x or y the same with opposite signs. We can achieve this by multiplying the first equation by 2, giving us:

• 4x + 14y = -2
• 4x - 3y = -19

Subtract the second equation from the first:

• (4x + 14y) - (4x - 3y) = -2 - (-19)
• 4x + 14y - 4x + 3y = -2 + 19
• 17y = 17

Divide by 17 to solve for y:

• y = 1

Next, substitute y=1 into the first original equation to solve for x:

• 2x + 7(1) = -1
• 2x + 7 = -1
• 2x = -8
• x = -4

The solution to the system of equations is (-4, 1), expressed as an ordered pair.

Question:

Solve the following system of equations. Express your answer as an ordered pair in the format (a, b) with no space between the numbers or symbols.

2x+7y=-1 and 4x-3y=-19

Answer 2

The solution to the system of equation as an ordered pair in the format (a, b) is (8, -1)

The graph of the equation has been attached.

What is the solution to the system of equation?

y = -x + 7

y = 1/4x - 3

Steps 1: Graph the first equation

Step 2: graph the second equation

step 3: find the point of intersection

Therefore, the point of intersection of y = -x + 7 and y = 1/4x - 3 is the point at which the graph crosses each other.

Complete question:

Solve the following system of equations. Express your answer as an ordered pair in the format (a, b) with no space between the numbers or symbols.

y = -x + 7

y = 1/4x - 3