Question

Consider the equation a(4-x)=-3x+b. what values of a and b make the solution of the equation x=-5

Answer 1

Answer:

Here is ur answer... Hope it will be helpful for u ❤

Step-by-step explanation:

$a(4 - x) = - 3x + b \\ a(4 + 5) = - 3 \times - 5 + b \\ = 4a + 5a = 15 + b \\ = 9a = 15 + b \ \\ \ = 9a - b = 15$

Answer...

Answer 2

The relationship between 'a' and 'b' is a linear equation in two variables.

So, there are infinite many solutions, out of which some are (0,-15), (1,-6), (2,3), (-1,-24).

Given:

• $a(4 - x) = - 3x + b$

To find:

• What values of a and b make the solution of the equation x=-5.

Solution:

Step 1:

Find the relationship between a and b.

Put x=-5

$a(4 - x) = - 3x + b$

$a( 4 + 5) = 15 + b$

$\bf 9a - b = 15$

Step 2:

Find the values of a and b.

Let the value of a=0.

$9(0) - b = 15$

$\bf b = - 15$

So,

One set of values of a and b is (0,-15).

Put a= 1

$9 - b = 15$

$\bf b = - 6$

Another set of values is (1,-6).

Put a=2

$18 - b = 15$

$\bf b = 3$

Another set is (2,3).

put a=-1

$- 9 - b = 15$

$\bf b = - 24$

Another values are (-1,-24).

Thus,

The relationship between 'a' and 'b' is a linear equation in two variables.

So, there are infinite many solutions, out of which some are (0,-15), (1,-6), (2,3), (-1,-24).

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