225k views
0 votes
Which equation shows a step that can be used to correctly solve the system of equations?

{y=9x−4
8x+6y=15

Which equation shows a step that can be used to correctly solve the system of equations-example-1
User Chen Lim
by
8.0k points

2 Answers

4 votes

Explanation:

if y = 9x - 4, then we can substitute y for equation 8x + 6y = 15. It's equal to :

y = 9x - 4

8x + 6y = 15

=> 8x + 6(9x - 4) = 15

Correct Option : D

Subject : Mathematics

Level : JHS

Chapter : Linear Equations

User Tarkan
by
7.6k points
5 votes

The substitution method involves substituting the value of y from one equation into another. In this case, by solving 9x - 4 = 8x + 6y and finding y, the solution is (x, y) = (1, 5). Here option 2 is correct.

The equation that shows a step that can be used to correctly solve the system of equations is option 2: (9x - 4 = 8x + 6y).

This equation is obtained by substituting the value of (y) from the first equation into the second equation.

This is a common method for solving linear systems of equations, also known as the substitution method.

By solving this equation for (x), we can then find the value of (y) by plugging it back into either equation.

The solution of the system is ((x, y) = (1, 5)). Here option 2 is correct.

User Srikantha Ks
by
7.6k points