5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.

Mathematics

1 answer:

8_murik_8 [283]4 years ago

6 0

Subtract these 2 equations,

5x-5x +3y-y = -4-6

2y = -10

y = -5

-5 is your answer.

You might be interested in

40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant

nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: $40x=10x^2+41\\$

Rearranging:

$40x-10x^2-41=0\\10x^2-40x+41=0$

Discriminant can be found by: $b^2-4ac$

where b=-40, a=10 and c=41

Putting values:

$b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\$

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

#learnwithBrainly

6 0

3 years ago

7 x 3/4

Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

7 x 4=28

Step 2:Add 3 to their product.

28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0

3 years ago

Pls help me I am confused

Maslowich

Answer:

$\huge\boxed{A.\ \dfrac{565}{182}}$

Step-by-step explanation:

$\dfrac{8}{7}-(5x-3)=\dfrac{1}{5}x-12\\\\\dfrac{8}{7}-5x+3=\dfrac{1}{5}x-12\qquad|\text{multiply both sides by 35}\\\\35\cdot\dfrac{8}{7}-35\cdot5x+35\cdot3=35\cdot\dfrac{1}{5}x-35\cdot12\qquad|\text{simplify}\\\\5\cdot8-175x+105=7\cdot x-420\\\\40-175x+105=7x-420\\\\-175x+(40+105)=7x-420\\\\-175x+145=7x-420\qquad|\text{subtract 145 from both sides}\\\\-175x=7x-565\qquad|\text{subtract }7x\ \text{from both sides}\\\\-182x=-565\qquad|\text{divide both sides by (-182)}\\\\x=\dfrac{565}{182}$