Question

Solve the following ​

Answer 1

Answer:

$x=2, \ y=1$

Step-by-step explanation:

$\displaystyle \left \{ {{\text{Equation I:} \ \ 2x+y =5} \atop {\text{ Equation II:} \ \ 3x-2y=4}} \right.$

Multiply $\text{Equation I}$ by 2.

• $2 \ \Big{[}2x+y=5\Big{]}$  
• $4x+2y=10$

Now we have this system of equations:

• $\displaystyle \left \{ {{4x+2y =10} \atop {3x-2y=4}} \right.$

We can add the equations together to cancel out y.

• $7x=14$
• $x=2$

Substitute x = 2 into the first equation and solve for y.

• $2(2)+y=5$
• $4+y=5$
• $y=1$

The solution to this system of equations is:

• $x=2, \ y=1$
• or $(2, \ 1)$