Answer:
x = -1
, y = 5
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = 10 | (equation 1)
x = y - 6 | (equation 2)
Express the system in standard form:
{5 x + 3 y = 10 | (equation 1)
x - y = -6 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 3 y = 10 | (equation 1)
0 x - (8 y)/5 = -8 | (equation 2)
Multiply equation 2 by -5/8:
{5 x + 3 y = 10 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -1
, y = 5
Negative 55.1 because all answers = in the 20 range but 55.1 is in the 50's
The strategy for these is to look at what these problems are telling you.
It says the y-value, so you know that this is a y = equation.
y = what?
y = 2 more than. 4 is two more than 2, right? So saying it's more than is another way of saying "y is 2 + blah blah."
So y = 2 + what? Three times the x-value. What does that mean? 3*X = 3X.
Thus we arrive at the final answer, y = 3x + 2
