Question 1206950: y=5x-13
5x+2y=19
how can I solve this
I couldnt find substition/systems which is what this problem is Found 2 solutions by ikleyn, math_tutor2020:Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website! .
y=5x-13
5x+2y=19
how can I solve this
I couldnt find substition/systems which is what this problem is
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You have a system of two equations in two unknowns.
First equation expresses y as a linear function of x.
In other words, first equation is just ready to make a substitution.
So, we apply the substitution method and replace y in the second equation
by its expression from first equation. We get single equation for x then
5x + 2*(5x-13) = 19.
Simplify and find x
5x + 10x - 26 = 19
5x + 10x = 19 + 26
15x = 45
x = 45/15 = 3.
So, x is just found.
To find y, substitute this value of x into very first equation
y = 5x - 13 = 5*3-13 = 15-13 = 2.
ANSWER. The solution is x= 3, y= 2.
You can put this solution on YOUR website!
I agree with the other tutor on the steps and final answer she wrote out. There's not much for me to add other than to think of "substitution" as in a "substitute teacher".
The substitute teacher is a temporary replacement for your original teacher until she or he gets back.
In this case, 5x-13 substitutes in for y, since both are equivalent.
That's how we go from 5x+2y = 19 to 5x+2(5x-13) = 19
It might help to color code things like so
5x+2y = 19
5x+2( y ) = 19
5x+2( 5x-13 ) = 19
which may illustrate the substitution process a bit better.
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