Question

solve by elimination and substitution method 2x - y=5,4x+3y=10​

Answer 1

Explanation:

Given

XXX

2

x

+

4

y

=

6

XXX

4

x

−

3

y

=

−

10

Method 1: By elimination

We note that if we multiply equation [1] by

2

the coefficient of

x

will be the same as that of equation

XXX

4

x

+

8

y

=

12

We can now eliminate the

x

term by subtracting equation [2] from equation [3]

XXX..

[

x

]

4

x

+

8

y

=

x..

12

XXX

−

(

4

x

−

3

y

=

−

10

−−−−−−−−−−−−−−

)

XXXXXx..

11

y

=

x..

22

After dividing both sides by

11

XXX

y

=

2

Then substituting

2

for

y

in

XXX

2

x

+

4

⋅

2

=

6

which simplifies as

XXX

2

x

=

−

2

or

XXX

x

=

−

1