Question

Solve the given system

of equations
algebraically.
5x-2y = 4
3x-4y=-6
What is the value of x?

Answer 1

x = 2

Explanation:

You can calculate x in many ways but let see by Subistutition method.

Substitution method is a method that solve one variable interms of other and substitut in other given equetion.

So lets 1st write the equetion solving x and we will sustitute it.

5x - 2y = 4

5x = 4 + 2y

X = (4+2y)/5

now we will sustitute in x of the other equetion .

3x - 4y = -6

3((4+2y)/5 ) - 4y = -6

(12 +6y) / 5 - 4y = -6 ... we will multiply all eq. by 5

5 ( (12+6y) / 5 - 4y = -6 )

12 + 6y - 20y = -30

12 -14y = -30

-14y = 12 -30

-14y = - 18

-14y/-14= - 18/-14

y = 3 so we get y now x

X = (4-2y)/5

X= (4-2(9/7) )/5

X= 2

x = 2 is the solution of X .

Answer 2

x=2.

y=3.

Explanation:

Isolate x to one side to get 3.

Substitute 3 back into equation: 2.