All categories

2 years ago

Solve system of equations y=3/4x+2 5x+4y=-24

Mathematics

1 answer:

satela [25.4K]2 years ago

6 0

Answer:

$\left \{ {{y=-1} \atop {x=-4}} \right.$

Step-by-step explanation:

$\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.$

You might be interested in

the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the

Ulleksa [173]

with the pythagorean theorem

$\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}$

using the formula of the quadratic equation

$\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}$

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0

1 year ago

If a system of linear equations has no solution, what does this mean about the two lines?

romanna [79]

Answer:

The lines do not intersect, it is parallel therefore there is no solution.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I hope it’s clear enough but can some please help

Liula [17]

Answer:

Step-by-step explanation:

hope this helps you! have a good day!

6 0

3 years ago

olivia is making scarves. each scarf will have 5 rectangles, and 2/5 of the rectangles will be purple. how many purple rectangle

Ipatiy [6.2K]

We have to find how many purple rectangles does Olivia need for 3 scarves. We know that each scarf will have 5 rectangles and 2/5 of the rectangles will be purple: 2/5 * 5 = 2. It means that each scarf will have 2 purple rectangles. And for 3 scarves : 3 * 2 = 6. Answer: She needs <span>6 purple rectangles.</span>

5 0

3 years ago

Your favorite basketpall player made two-point duele goals and three-point field goals for a total of 34 points. He made 16 shot

Ira Lisetskai [31]

Answer:

it was just a joke chilll

3 0

3 years ago