Mathematics

Question

Find the value of x for the following system of equations. x + y = 5 x - y = -7 -1 1 -2

2 Answer

  • Answer:

    x=-1, y=6. (-1, 6).

    Step-by-step explanation:

    x+y=5

    x-y=-7

    ---------

    2x=-2

    x=-2/2

    x=-1

    -1+y=5

    y=5-(-1)=5+1=6

  • Answer: (5,20)

    Let’s start by rewriting the equations

    x+y=5x

    -y=-7-11-2

    Since the value of y cannot be negative, let’s turn this positive by multiplying each number by -1.

    -1 (-y=-7-11-2)

    y=7+11+2

    Now let’s determine what method we would like to use to solve

    When solving a system of equations, you can use one of three methods:

    1) Graphing
    2) Substitution
    3) Elimination

    Seeing that we already know how to find y, let’s solve this using the substitution method.

    We’re going to start by substituting y into the second equation and solving

    x+ 7+11+2=5x

    *add 7,11, and 2)

    x+20=5x

    *subtract x on both sides*

    20=4x

    *divide both numbers by 4*

    5=x

    Now that we have x, we have the first number of the ordered pair. It is currently: (5,20)

    We found y by adding all the numbers, and found x by solving the equation

    Hope this helps comment below for more questions :)
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