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Lorico [155]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

(3,2)

Step-by-step explanation:

Here's your given:

y = 4x - 10

y = 2

Because they both equal y, that means they equal each other:

2 = 4x - 10

Add 10 on both sides:

12 = 4x

Then, divide 4 on both sides:

3 = x

This represents the x coordinate.

Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:

y = 2

This represents the y coordinate.

Put the two values together to get: (3,2)

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150 - x - 2x = 120 + 2x
Svetach [21]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

150 - x - 2x = 120 + 2x

Step 2: Solve for <em>x</em>

  1. Combine like terms: 150 - 3x = 120 + 2x
  2. Add 3x to both sides: 150 = 120 + 5x
  3. Subtract 120 on both sides: 30 = 5x
  4. Divide both sides by 5: 6 = x
  5. Rewrite: x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

150 - 6 - 2(6) = 120 + 2(6)

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