Step-by-step explanation:
I'll be using substitution to solve this since it's easier. Since y = 3x - 9, I can plug that into the y for the other equation and vice versa.
1.) Cancel out -2x on the right side by adding it on both sides.
2.) Cancel out -9 on left side by adding it on both sides.
3.) Divide both sides by 5 to isolate and solve for x.
4.) Plug x into one of the equations to solve for y.
5.) Solve.
Solution: (2, -3)
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Now solving these equations to find the value of x
Multiply eq(1) with 2 and eq(2) with 5
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59