Consider the system of equations {3x+4y=2
{2x-4y=8
which is its solution?

(

2

,

−

1

)

Explanation:

The quickest way is to use elimination

3

x

+

4

y

=

2

+

2

x

−

4

y

=

8

−

−

−

−

−

5

x

=

10

⇒

x

=

2

Now substitute into one of the original eqns.

3

×

2

+

4

y

=

2

6

+

4

y

=

2

4

y

=

−

4

⇒

y

=

−

1

check in other eqn.

2

x

−

4

y

=

8

2

×

2

−

(

4

×

−

1

)

=

4

−

−

4

=

4

+

4

=

8

√

solns  

(

2

,

−

1

)

Step-by-step explanation:

the answer is ! ?

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: