Question

Find the solution of the system of equations.
X – 10y = 18
- 6x – 10y = 32​

Answer 1

The solution to the system of equations is x = -2 and y = -2.

Step-by-step explanation:

Step 1: Rewrite the two equations in standard form.
X - 10y = 18 becomes 1x - 10y = 18
-6x - 10y = 32 becomes -6x - 10y = 32

Step 2: Multiply the first equation by 6 to eliminate the x term.
6x - 60y = 108

Step 3: Add the two equations together to get a new equation without the x term.
(6x - 60y) + (-6x - 10y) = 108 + 32
-70y = 140

Step 4: Divide both sides of the equation by -70 to solve for y.
y = -2

Step 5: Substitute the value of y back into one of the original equations to solve for x.
x - 10(-2) = 18
x + 20 = 18
x = -2

Therefore, the solution to the system of equations is x = -2 and y = -2.

Answer 2

Answer: x = 46, y = 2.8

Step-by-step explanation:

equation 1: x - 10y = 18

equation 2: -6x - 10y = 32

The first equation can be re-written as: x = 18 + 10y

This can be substituted into the second equation and solved:

-6(18+10y) - 10y = 32

-108 + 60y - 10y = 32

50y = 140

.: y = 2.8

Using this value of y we can find x:

x = 18 + 10y

x = 18 + 10(2.8)

x = 18 + 28

x = 46

So, our solutions are: x = 46, y = 2.8