# Intermediate Algebra

posted by .

Determine whether the point (1, 8) is a solution of the system
2x + 6y = 50
10x + 0y = 10
by substituting the point into each equation.

So far I have:
2x=6y=50
y=50-2x

10x+10y=10
10x+0(50-2x)=10
10x+0=10
x=10

y=50-2x
y=50-2(1)
y=50-2
y=48

• Intermediate Algebra -

Plug x=1 and y=8 into the two equations simultaneously and see if both are satisfied.

They both are.
2 + 48 = 50
10 = 10

Therefore (1,8) is the solution.

is wrong.

• Intermediate Algebra -

You are confusing SOLVING the two equations (which is possible by various means) with TRYING OUT a sample solution you have been given, to see if it works.

You have made the problem harder than it really is, and made mistakes in the process.

## Similar Questions

1. ### Math Algebra 1

i was wondering if anyone could help me on this problem. expand: x^-2 (y^2 + 10x) z^3 (5x + 3z^-4) First one: x^-2 (y^2 + 10x) x^-2 is the same thing as 1/x^2. Therefore, we have this: 1/x^2 (y^2 + 10x) Multiply using the distributive …
2. ### how about his one

-7+ 5x = 10x-2? im not sure I know its -1, but im not sure how. -7 + 5x = 10x - 2 Since we need to get the unknowns on one side and the knowns on the other side and change their signs: 5x - 10x = 7 - 2 -5x = 5 x = -1 wait how did you
3. ### Math

Find the equation of the tangent line 5x^2+y^2=14 at (1,3). P.S: It's calculus. So far I know this much 10x+2y(dy/dx)=o -10x -10x ___________________ 2y(dy/dx)= -10x (dy/dx)= -10x/2y= -5x/y m= -5(1)/3= -5/3 y=mx+b 3= -5/3(1)+b then …
4. ### algebra

Determine whether the point 1.8 is a solution of the system. Subitute the point of each equation. 2x+6y=50 10x+0y=10
5. ### algebra

How do you determine the point of a solution of the system.The point is 46, 0 2x+10y+92 -6x-2y=24
6. ### Algebra 2

"My husband's age," remarked a lady the other day, "is represented by the figures of my own age reversed. He is my senior, and the difference between our ages is one-eleventh of their sum." 10x + y = husband's age 10y + x = wife's …
7. ### math

Determine whether the point (1, 4) is a solution of the system 6x + 9y = 42 5x + 0y = 5 by substituting the point into each equation
8. ### Algebra

Determine whether the point(7,2) is a solution of the system..-3x+4y=-13,-2x+8y=2,by substituting the point into each equation.
9. ### algebra

Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?
10. ### math

1. Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?

More Similar Questions