Question

Solve the system of equations
4x+5y=3
y=3x-7

Answer 1

x = 2, y = -1

Explanation:

1. We are given the value of y (y=3x-7), therefore we can plug that value into the first equation.

• 
  `4x+5y=3`
• Now plug in
  `3x - 7` as the value for y to get
  `4x+5(3x-7)=3`.

2. Simplify the left side by distributing 5 into 3x-7. This gets rid of the parenthesis.

• 
  `4x+15x-35=3`

3. Combine like terms (4x and 15x)

• 
  `19x-35=3`

4. Add 35 to both sides.

• 
  `19x=38`

5. Divide both sides by 19.

• 
  `x=2`
• Now we know that our x value is 2.

6. To solve for y, we can plug our x value of 2 into the second equation which defines y.

• 
  `y=3(2)-7=6-7=-1`
• Our y value is -1.