Question

Solve 2x + 3y = 11 and x − 2y = −12 algebraically and hence find the value

of ‘m’ for which y = mx + 3.​

Answer 1

Step-by-step explanation:

Here is solution.

x=-2 and y=5.

Putting value-:

y=mx +3

5=-2m+3

= -2m = 2

=m= -1

Answer 2

The solution is x=-2 and y=5.

The value is m=-1.

Step-by-step explanation:

Given : Equations $2x+3y=11$ and  $x-2y=-12$

To find : Solve equations and hence find the value  of ‘m’ for which y=mx+3 ?

Solution :

$2x+3y=11$ ....(1)

$x-2y=-12$   ....(2)

Substitute the value of x from (2) in (1),

$2(-12+2y)+3y=11$

$-24+4y+3y=11$

$7y=35$

$y=\frac{35}{7}$

$y=5$  

Substitute in (2),

$x-2(5)=-12$

$x=-12+10$

$x=-2$

The solution is x=-2 and y=5.

Substitute the values in $y=mx+3$,

$5=m(-2)+3$

$5=-2m+3$

$2m=-2$

$m=-\frac{2}{2}$

$m=-1$

Therefore, the value is m=-1.

#Learn more

- Solve: x + y = 8 and 2x - y=1.​

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