The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Answer:
D) x = 4, y = -2, z = 3
Step-by-step explanation:
x = 3z − 5
2x + 2z = y + 16
2(3z - 5) + 2z = y + 16
6z - 10 + 2z = y + 16
8z = y + 26 ---> (A)
7x − 5z = 3y + 19
7(3z - 5) - 5z = 3y + 19
21z - 35 - 5z = 3y + 19
16z = 3y + 54 ---> (B)
8z = y + 26
16z = 3y + 54
2(y + 26) = 3y + 54
2y + 52 = 3y + 54
y = -2
8z = -2 + 26
8z = 24
z = 3
x = 3(3) - 5
x = 4
First, we need to find the LCD (Least Common Denominator) so we can subtract them much easier.
An easy way to find the LCD is to just multiply the denominators together: So 2 • 5 = 10
We have to do the same to the numerators too though.
1/2 (5) = 5/10
2/5 (2) = 4/10
Now, the remade expression is:
5/10 - 4/10 which will equal 1/10.
Hope it helped! If it did, please mark as Brainliest! :)
I hope this helps you! :)
Answer:
B
Step-by-step explanation:
recall that any radical expression
has real solutions only if A is not negative. (otherwise you will have imaginary solutions)
hence in this case we have
,
for real solutions, 8x must be ≥ 0,
since 8 is a positive number, x must be ≥ 0 (answer)