<u>ANSWER: </u>
The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).
<u>SOLUTION:
</u>
Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).
Let us first solve the above equations using <em>elimination process.
</em>
For elimination, one of the coefficients of variables has to be same in order to cancel them.
Now solve (1) and (2)
eqn (1) 2 → 4x + 6y = 10
eqn (2) → 4x – y = 17
(-) ----------------------------
0x + 7y = -7
y = -1
Substitute y value in (2)
So, solution of two equations is (4, -1).
<u><em>Now let us solve using substitution process.</em></u>
Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17
Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56
x = 4
Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1
Hence, the solution of the two equations is (4, -1).
Answer:
unit rate is 2
Step-by-step explanation:
Notice that if we multiply both '1' and '3' in 1/3 by 2, we get:
4/6 : 2/6,
which reduces to 4/2, or 2, which is the desired unit rate.
You would insert your coordinates to see if it is a solution.
x=5 y=6.5 So your new equation is
6.5 = -1/2(5)+9
This is a solution because -1/2(5) is equal to -2.5, and then -2.5 + 9 is equal to 6.5
Answer:
A. Y=3x+2
Step-by-step explanation:
Y=mx+c
m - slope coefficient of x
and so you can easily find the slope if you are asked directly like this seen in option A.
the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1
m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.
as you can now see, the slope from the pic which is 1/3 is less than that of option A.
Answer: ( x − 9 ) y ( x − 7 )