How do you solve the simultaneous equations $4x + 3y = 11$ and $4x - 2y = 6$ ?

Question

How do you solve the simultaneous equations $4x + 3y = 11$ and $4x - 2y = 6$ ?

2 Answers

Impact of this question

7573 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-20T15:43:44

$x=2,y=1$

Explanation:

Subtract the second equation from the first and solve for $y$ :
$(4x+3y)-(4x-2y)=11-6$ => $5y=5$ => $y=1$

Use this value in the first equation and solve for $x$ :
$4x+3y=4x+3=11$ => $4x=8$ => $x=2$

Answer 2 · 2015-07-20T15:45:10

I found:
$x=2$
$y=1$

Explanation:

You can multiply the first equation by $-1$ and then add the two equations (in columns) as:
${-4x-3y=-11$
${4x-2y=6$ add them:
$0-5y=-5$
$y=1$
Substitute back into the first equation:
$4x+3=11$
$4x=8$
$x=2$

Science

Math

Humanities

... and beyond

How do you solve the simultaneous equations $4x + 3y = 11$ and $4x - 2y = 6$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the simultaneous equations 4x + 3y = 114x + 3y = 11 and 4x - 2y = 64x - 2y = 6?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you solve the simultaneous equations $4x + 3y = 11$ and $4x - 2y = 6$ ?