How do you solve systems of equations using the substitution method?

Question

How do you solve systems of equations using the substitution method?

1 Answer

Related questions

How do you check your solutions to a systems of equations using the substitution method?
When is the substitution method easier to use?
How do you know if a solution is "no solution" or "infinite" when using the substitution method?
How do you solve $y = - 6 x - 3$ $y=-6x-3$ and $y = 3$ $y=3$ using the substitution method?
How do you solve $12 y - 3 x = - 1$ $12y-3x=-1$ and $x - 4 y = 1$ $x-4y=1$ using the substitution method?
Which method do you use to solve the system of equations $y = \frac{1}{4} x - 14$ $y=1/4x-14$ and $y = \frac{19}{8} x + 7$ $y=19/8x+7$ ?
What are the 2 numbers if the sum is 70 and they differ by 11?
How do you solve $x + y = 5$ $x+y=5$ and $3 x + y = 15$ $3x+y=15$ using the substitution method?
What is the point of intersection of the lines $x + 2 y = 4$ $x+2y=4$ and $- x - 3 y = - 7$ $-x-3y=-7$ ?
How do you solve $x - 5 y = 15$ $x-5y=15$ and $4 x - 3 y = 26$ $4x-3y=26$ using substitution?

Impact of this question

14299 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-15T04:47:07

Please see below.

Explanation:

I assume you are interested in linear equations. In general you need $n$ $n$ equations if you have $n$ $n$ variables.

Let us have $3$ $3$ equations and $3$ $3$ variables $x, y$ $x,y$ and $z$ $z$ . Now pick up an equation with $x$ $x$ and segregate it say $x$ $x$ in terms of $y, z$ $y,z$ . When we put this value of $x$ $x$ in two other equations we get two equations in $y$ $y$ and $z$ $z$ .

We can now find $y$ $y$ in terms of $z$ $z$ say using second equation and when we put in third equation we get value of $z$ $z$ .

Once $z$ $z$ is known, it is easy to find $y$ $y$ and then $x$ $x$ .

Science

Math

Humanities

... and beyond

How do you solve systems of equations using the substitution method?

1 Answer

Explanation:

Related questions

Impact of this question