Question

Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to

solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.

y - 3x + 7

5x-y-5

Answer 1

Answer is x= 6, y= 25

y = 3x + 7
5x - y = 5

To solve by substitution method, substitute the value of y from the 1st equation into the y of the 2nd equation and solve

5x - (3x +7) = 5
Distributive property

5x -3x -7 =5
Combine like terms

2x -7 = 5

Add 7 to each side to isolate constants

2x -7 +7 = 5 + 7
Addition property of equity

2x = 12

Divide both sides by 2 to solve for x

2/2 x = 12/2
Division property of equity

x = 6

Now substitute value of x into equation 1 to solve for y

y = 3x + 7
y = (3)(6) + 7
y = 18 + 7
y = 25

Now substitute x and y values into equations to see if the solution is true
x= 6, y= 25

y = 3x + 7
25 = (3)(6) + 7
25 = 18 + 7
25 = 25
Solution is true ✅

5x - y = 5
(5)(6) - 25 = 5
30 - 25 = 5
5 = 5
Solution is true ✅