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Can someone help me please it's due tomorrow. I already started some of the problems, I need help with the rest of them. Thank you!

Can someone help me please it's due tomorrow. I already started some of the problems-example-1
Can someone help me please it's due tomorrow. I already started some of the problems-example-1
Can someone help me please it's due tomorrow. I already started some of the problems-example-2
User Kevinarpe
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1 Answer

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In the first system, x = 10 and y = 4. In the second system, x = 4 and
y = 5. In the third system, x = 8 and y = 2.

4. Let's solve the system of equations:

1. Equation 1: 5x + 2y = 58

2. Equation 2: y = 14 - x

Substitute the expression for y from Equation 2 into Equation 1:

5x + 2(14 - x) = 58

Now, distribute the 2:

5x + 28 - 2x = 58

Combine like terms:

3x + 28 = 58

Subtract 28 from both sides:

3x = 30

Divide by 3:

x = 10

Now that we have the value for x, substitute it back into Equation 2 to find y:

y = 14 - x

y = 14 - 10

y = 4

So, the solution to the system is x = 10 and y = 4 .

5. Let's solve the system of equations:

1. Equation 1: 10x + 3y = 55

2. Equation 2: y = 2x - 3

Substitute the expression for y from Equation 2 into Equation 1:

10x + 3(2x - 3) = 55

Now, distribute the 3:

10x + 6x - 9 = 55

Combine like terms:

16x - 9 = 55

Add 9 to both sides:

16x = 64

Divide by 16:

x = 4

Now that we have the value for x, substitute it back into Equation 2 to find y:

y = 2x - 3

y = 2(4) - 3

y = 5

So, the solution to the system is x = 4 and y = 5.

6. Let's solve the system of equations:

1. Equation 1: 4x - 7y = 18

2. Equation 2: x = 2y + 4

Substitute the expression for x from Equation 2 into Equation 1:

4(2y + 4) - 7y = 18

Distribute the 4:

8y + 16 - 7y = 18

Combine like terms:

y + 16 = 18

Subtract 16 from both sides:

y = 2

Now that we have the value for y, substitute it back into Equation 2 to find x:

x = 2y + 4

x = 2(2) + 4

x = 8

So, the solution to the system is x = 8 and y = 2.

User Jwdonahue
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7.8k points

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