181k views
4 votes
4x+6y= 10 -10x+2y= −8

1 Answer

0 votes

Answer:

x=1, y=1

Explanation:

To solve the equations, we first have to label them.

4x +6y= 10 -----(1)

-10x +2y= -8 -----(2)

From (1): 2x +3y= 5 -----(3)

From (2):

-5x +y= -4

y= 5x -4 -----(4)

Subst. (4) into (3):

2x +3(5x -4)= 5

2x +15x -12= 5 (expand)

17x= 12 +5 (simplify, +12 on both sides)

17x= 17 (simplify)

x= 17 ÷17

x= 1

subst. x=1 into (4):

y= 5(1) -4

y= 5 -4

y= 1

User Piscator
by
4.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.