How do you solve $3 x + 2 y = 27$ $3x+2y=27$ and $x = y + 4$ $x=y+4$ using substitution?

Question

How do you solve $3 x + 2 y = 27$ $3x+2y=27$ and $x = y + 4$ $x=y+4$ using substitution?

1 Answer

Related questions

How do you solve systems of equations using the substitution method?
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 $- x - 3 y = - 7$ $-x-3y=-7$ ?

Impact of this question

5125 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-05T21:02:37

x = 7 , y = 3

Explanation:

One of the equations x = y + 4 , gives x in terms of y.

This means it can be substituted directly into 3x + 2y = 27.

hence : 3( y + 4 ) + 2y = 27 . We now have an equation in 1 variable.

expanding brackets : 3y + 12 + 2y = 27

collecting y terms on left and numbers on right gives:

5y = 27 - 12 → 5y = 15 → y = 3

now x = y+4 → x = 3 + 4 = 7

Science

Math

Humanities

... and beyond

How do you solve $3 x + 2 y = 27$ $3x+2y=27$ and $x = y + 4$ $x=y+4$ using substitution?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve 3x+2y=273x+2y=27 and x=y+4x=y+4 using substitution?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve $3 x + 2 y = 27$ $3x+2y=27$ and $x = y + 4$ $x=y+4$ using substitution?