Ask question

Ask question

All categories

3 years ago

8

Solve the system using substitution 8x+9y=15 5x-2y=17

1 answer:

Otrada [13]3 years ago

8 0

$5x-2y=17\ \ \ \ |-5x\\-2y=-5x+17\ \ \ \ |:(-2)\\y=2.5x-8.5\\\\\text{substitute to the first equation}\\\\9x+9(2.5x-8.5)=17\ \ \ \ |\text{use distributive property}\\9x+22.5x-76.5=17\ \ \ \ |+76.5\\31.5x=93.5\ \ \ \ |:31,5\\x=3\\\\\text{substitute the value of x to the equation}\ y=2.5x-8.5\\\\y=2.5(3)-8.5=7.5-8.5=-1\\\\Answer:\ x=3,\ y=-1\to(3;\ -1)$

You might be interested in

Solve for the given time.

LenaWriter [7]

Answer:

8851.86

Step-by-step explanation:

100-4.3= 95.7%

15000(.957)^12

5 0

3 years ago

Can someone help answering my questions in English and Math

vagabundo [1.1K]

Answer:

yo

Step-by-step explanation:

8 0

2 years ago

Which expressions are in their simplest form? Check all that apply.

Tom [10]

Answer:

The first one is the only one in simplest form.

6 0

3 years ago

Read 2 more answers

Last year the math club had nine sixth grade students and 4 4th grade students what is the radio of 4th grade students to the to

slega [8]

Answer:

C. 4:13

Step-by-step explanation:

there are 4 students in the 4th grade and 4+9= 13 so it is 4:13

3 0

3 years ago

Which equation has a slope of -2 and passes through the point (1,-6)?

Naily [24]

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

$y-y_1=m(x-x_1)$

Put y₁ = -6, x₁ = 1 and m = -2

$y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4$

Hence, the equation of line is y=-2x-4.

7 0

3 years ago