if 7a+7b=-5 and 3x+2y+9z=-9, what is 56a+10y+45z+15x+56b

Asked on by moocow554

1 Answer | Add Yours

llltkl's profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted on

Given 7a+7b=-5 --- (i)

and   3x+2y+9z=-9 ---- (ii)

The value of 56a+10y+45z+15x+56b has to be determined.

Multiply both sides of eq. (i) with 8 and eq. (ii) with 5 to get,

7a+7b=-5 * 8      `rArr` 56a+56b=-40

3x+2y+9z=-9 * 5 `rArr` 15x+10y+45z=-45


Now add up both sides of the two equations to get, 56a+56b+15x+10y+45z=-40-45=-85

Upon rearranging, the above equation yields, 56a+10y+45z+15x+56b = -85

This is the required answer.

We’ve answered 319,863 questions. We can answer yours, too.

Ask a question