Gina wrote this system of linear equations:
2x + y = 7
4x + 5y = 11
Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?
a.)
y = 7 – 2x
4x + 5(7 – 2x) = 11
4x + 25 – 10x = 11
25 – 6x = 11
b.)
y = 7 – 2x
4x + 5(7 – 2x) = 11
4x + 35 – 10x = 11
35 – 6x = 11
c.)
y = 7 – 2x
4x + 5 + (7 – 2x) = 11
2x + 12 = 11
2x = 12 – 11
d.)
x = 11 – 5y
4x + 5(11 – 5y) = 11
4x + 55 – 10x = 11
4x + 10x = 55 + 11
No idea at all?
5(2x-4)+ 11< 10 -2(6-x)
Did you ever find out what it was? i need help with this one
EVERYBODY
The correct answer is option b.)
Here are the steps Gina could have used to correctly solve the system for x:
1. Write the first equation in terms of y:
y = 7 - 2x
2. Substitute the value of y from step 1 into the second equation:
4x + 5(7 - 2x) = 11
3. Distribute 5 to each term inside the parentheses:
4x + 35 - 10x = 11
4. Combine like terms:
-6x + 35 = 11
Therefore, the correct answer is b.)