Question

Solve the system of equations using the linear combination method. {c+d=17 c−d=3 Enter your answers in the boxes.

Answer 1

c + d= 17
c  -d =3
-------------
2c=20
c=20:2
c=10

c+d=17
10+d=17
d=17-10
d=7

Answer 2

The Solution to the system of equations using the linear combination method will be  $c=10$ and $d=7$ .

What is system of equations?

System of equations is a finite set of equations for which common solutions are sought.

We have,

$c+d=17$     $(i)$

And,

$c-d=3$     $(ii)$

So,

Using the linear combination method,

i.e. adding the given equations,

$c+d=17$

$c-d=3$

We get,

$2c=20$

$c=10$

Now substitute this value in equation $(i)$,

$10+d=17$

So, the solutions of given system of equations are $c=10$ and $d=7$ .

Hence, we can say that the Solution to the system of equations using the linear combination method will be  $c=10$ and $d=7$ .

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