3x+2y=7,2x-5y=11. by elimination method, need all steps

x = 3 and y = -1

Step-by-step explanation:

It is given that,

3x + 2y = 7   (1)

2x - 5y = 11    ---(2)

To find the solution of given equations

eq(1) * 2 ⇒

6x + 4y = 14    (3)

eq(2) * 3 ⇒

6x - 15y = 33  (4)

eq(3) - eq(4) ⇒

6x + 4y = 14    (3)

6x - 15y = 33 (4)

        19y = 19

y = -1

Substitute the value of y in eq (1) we get,

3x + 2y = 7   (1)

3x + (2 *-1) = 7

3x = 7 + 2 = 9

x = 9/3 = 3

Therefore x = 3 and y = -1

Step-by-step explanation:

We have the following two equations:

To solve the system by the elimination method multiply the first equation by and add it to the second equation

By multiplying the first equation by you get the following:

Now we add the two equations

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Now substitute the value of x in either equation and solve for y

b

step-by-step explanation: