Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

Sagot :

MrRoyal

Answer:

[tex]-8x + 6y = -180[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{5} x-\frac{3}{5}y=18[/tex]

[tex]8x + 12y = 11[/tex]

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.

[tex]\frac{4}{5} x-\frac{3}{5}y=18[/tex]

Multiply by -10

[tex]-10 * [\frac{4}{5} x-\frac{3}{5}y=18][/tex]

[tex]\frac{-40}{5} x+\frac{30}{5}y=-180[/tex]

[tex]-8x + 6y = -180[/tex]

When this is added to the first equation, the x terms becomes eliminated

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.