Solve the following system of equations by the substitution method. 3x = y + 6 x = 2y - 1
1 answer:
Answer:
Step-by-step explanation:
First Equation:
3x = y + 6
Or,
y = 3x - 6
2nd Equation:
x = 2y - 1
Lets substitute the expression for "y" from 1st equation in 2nd and solve for x:
x = 2y - 1
x = 2(3x - 6) - 1
x = 6x - 12 - 1
x = 6x - 13
5x = 13
x = 13/5
Now we can substitute this value of x into bold 1st equation and get y:
y = 3x - 6
y = 3(13/5) - 6
y = 9/5
This is the solution
You might be interested in
We can answer this question using sine rule, as I'm sure you're aware of since you have drawn out the opposite angles and sides.
In case you need reminding, the sine rule is as follows:
Using the information you have provided, we can set A to be x, a to be 33 (as it's the opposite), B to be 102, and b to be 73 (again, as it's the opposite).
If we plug these values in to the sine rule, we get:
Now all we have to do is rearrange to find X.
to 1DP
In case you need reminding, the sine rule is as follows:
Using the information you have provided, we can set A to be x, a to be 33 (as it's the opposite), B to be 102, and b to be 73 (again, as it's the opposite).
If we plug these values in to the sine rule, we get:
Now all we have to do is rearrange to find X.