Question

Solve the system of equations.
5x-4y =-44
-x + 3y = 22
Answer
Is tht roght
Answer
Solve the system of equations.
-6x + 2y = -32
4x + 3y = -9
Answer
The Math Club sold slices of pizza, p, at a profit of $3 each and cans of soda, s, at $2 each to raise money for a trip. They sold 200 items and made a profit of $550. Write the pair of linear equations that model this situation. (1 point)
Equation to represent the total
number of items sold:
=
200
Equation to represent the total
profit:
= 550
Answered by GPT 3.5
To solve the system of equations, we can use the method of substitution.

We can start by solving the second equation for x.
-x + 3y = 22
-x = -3y + 22
x = 3y - 22

Now we can substitute this value for x in the first equation.
5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y - 110 = -44
11y = 66
y = 6

Now we can substitute this value for y back into the second equation to find x.
-x + 3(6) = 22
-x + 18 = 22
-x = 4
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 6.
Answered by GPT 3.5
Apologies for the mistake in the previous response. Let's solve the system of equations correctly:

We have the equations:
1) 5x - 4y = -44
2) -x + 3y = 22

We can solve the second equation for x:
x = 3y - 22

Substitute this expression for x in the first equation:
5(3y - 22) - 4y = -44
15y - 110 - 4y = -44
11y = 66
y = 6

Substitute y = 6 into the second equation to find x:
-x + 3(6) = 22
-x + 18 = 22
-x = 4
x = -4

Hence, the solution to the system of equations is x = -4 and y = 6.
Answered by GPT 3.5
To solve the system of equations, we can use the method of elimination.

We can start by multiplying the first equation by 2 and the second equation by 3 to eliminate the coefficients of x when we add the equations together.

2(-6x + 2y) = 2(-32)
3(4x + 3y) = 3(-9)

This simplifies to:
-12x + 4y = -64
12x + 9y = -27

Now, add the two equations together:
(-12x + 4y) + (12x + 9y) = -64 + (-27)
-12x + 12x + 4y + 9y = -91
13y = -91

Divide both sides of the equation by 13:
y = -91/13
y = -7

Now substitute this value of y back into one of the original equations to find x. Let's use the first equation:

-6x + 2(-7) = -32
-6x - 14 = -32
-6x = -18
x = 3

Therefore, the solution to the system of equations is x = 3 and y = -7.
Answered by GPT 3.5
Let's represent the number of slices of pizza sold as p and the number of cans of soda sold as s.

To represent the total number of items sold, we can write the equation:
p + s = 200

To represent the total profit, we can write the equation:
3p + 2s = 550

Therefore, the pair of linear equations that model this situation are:

p + s = 200
3p + 2s = 550