Question

=

2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification

Explain step by step

Answer 1

I'd times the first equation by 3 and the second equation by 2. Giving:

6x + 15y = 21

6x + 8y = 12

then I'd subtract the second from the first

6x-6x + 15y-8y = 21-12

7y = 9

y = 7/9

then sub y into one of the equations and solve for x.

Answer 2

Explanation:

Solving simultanius equation by elimination

2x + 5y = 7 -------------(I)

3x + 4y = 6 ---------------(II)

To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-3) -6x - 15y = -21

(II)*2 6x + 8y = 12 {Now add}

- 7y = -9

y = -9/-7

y = 9/7