10 is letter b. I hope this helps!!!
Answer:
X=9
Step-by-step explanation:
3.5(7−x)+32=106−1.5(4x+18)
Step 1: Simplify both sides of the equation.
3.5(7−x)+32=106−1.5(4x+18)
(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)
24.5+−3.5x+32=106+−6x+−27
(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)
−3.5x+56.5=−6x+79
−3.5x+56.5=−6x+79
Step 2: Add 6x to both sides.
−3.5x+56.5+6x=−6x+79+6x
2.5x+56.5=79
Step 3: Subtract 56.5 from both sides.
2.5x+56.5−56.5=79−56.5
2.5x=22.5
Step 4: Divide both sides by 2.5.
2.5x
2.5
=
22.5
2.5
x=9
Hi there!
When we have an equation standard form...

...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant

D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.

D = 0 and therefore we have one real solution.
~ Hope this helps you.
The solutions to the given system of equations are x = 6 and y = -5
<h3>Simultaneous linear equations</h3>
From the question, we are to solve the given system of equations
The given system of equation is
4x+5y=-1
-5x-8y=10
Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4
5× (4x+5y=-1)
4× (-5x-8y=10)
20x + 25y = -5
-20x - 32y = 40
------------------------
0x + (-7y) = 35
-7y = 35
y = 35/-7
y = -5
Substitute the value of y into the first equation to find x
4x + 5y = -1
4x + 5(-5) = -1
4x -25 = -1
4x = -1 +25
4x = 24
x = 24/4
x = 6
Hence, the solutions to the given system of equations are x = 6 and y = -5
Learn more on Simultaneous linear equation here: brainly.com/question/12647791
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