Question

Solve 3x+4y= 10 and x-y= 1

Answer 1

Answer:

(2,1)

Step-by-step explanation:

3(1+y)+4y=10

Solve

y=1

substitute the value into the equation

x=1+1

x=2

Answer 2

Given,

3x+4y= 10 and x-y= 1

To Find,

Solve the given equations

Solution,

We can solve the question as follows:

It is asked that we have to solve the given equations.

The equations are:

$3x + 4y = 10$        ------------ (1)

$x - y = 1$              ------------ (2)

From equation (2),

$x = 1 + y$

Substituting x = 1 + y in equation (1),

$3(1 + y) + 4y = 10$

$3 + 3y + 4y = 10$

Taking all the y terms to one side and the constants to the other,

$7y = 10 - 3$

$y = \frac{7}{7}= 1$

Now, we will substitute y = 1 in equation (2),

$x - 1= 1$

$x = 1 +1$

$x = 2$

Hence, the solutions of the given equations are x = 2 and y = 1.