1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
insens350 [35]
2 years ago
9

Graph each equation. Determine the solution of the system of equations

Mathematics
1 answer:
ivann1987 [24]2 years ago
5 0

Answer:

6

Step-by-step explanation:

Explanation: Equation 1: 3 x − 2 y = 10 Equation 2 : 5 x + 2 y = 6 Both equations are in the standard form for a linear equation. This form makes it easy to determine the x- and y-intercepts. We can use those two points to graph each equation. X-intercept: value of x when y = 0 Substitute 0 for y and solve for x . Y-intercept: value of y when x = 0 Substitute 0 for x and solve for y . Equation 1 3 x − 2 y = 10 X-intercept: Substitute 0 for y and solve for x . 3 x − 2 ( 0 ) = 10 3 x = 10 Divide both sides by 3 . x = 10 3 or ≈ 3.333 x-intercept: ( 10 3 , 0 ) or ( ≈ 3.333 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 3 ( 0 ) − 2 y = 10 − 2 y = 10 Divide both sides by − 2 . y = 10 − 2 y = − 5 y-intercept: ( 0 , − 5 ) Plot this point. Draw a straight line through the two points. This is the graph for Equation 1. Equation 2 5 x + 2 y = 6 X-intercept: Substitute 0 for y and solve for x . 5 x + 2 ( 0 ) = 6 5 x = 6 Divide both sides by 5 . x = 6 5 or 1.2 x-intercept: ( 6 5 , 0 ) or ( 1.2 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 5 ( 0 ) + 2 y = 6 2 y = 6 Divide both sides by 2 . y = 6 2 y = 3 y-intercept: ( 0 , 3 ) Plot this point. Draw a line between the two points. This is the graph of Equation 2. The lines intersect at a single point, therefore the system of equations is consistent. graph{(3x-2y-10)(5x+2y-6)=0 [-10, 10, -5, 5]}

You might be interested in
the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is t
Marrrta [24]
The height of the triangle is 48/b or 48 over b. That's all I can tell you with the information given.

5 0
3 years ago
Find the values of b <br>b²= 256<br>b=?​
ehidna [41]

Answer:

if b²=256

then b=16

....................

5 0
2 years ago
Read 2 more answers
Record the data in a table with the rows representing the type of music and the columns representing the weeks.
Art [367]

Answer:

150

Step-by-step explanation:

8 0
3 years ago
Need help with geometry
ra1l [238]
The answer is x=3 because abt+tbc=abc
3 0
3 years ago
What is the reciprocal of 7 1/3?
Andrei [34K]
The reciprocal is -3/23.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the solution for the following linear inequality system. <br> x+y = 6<br> x34
    8·1 answer
  • 14+6 :)) ILL GIVE BRAINLIEST ITS 100 POINTS :))
    11·1 answer
  • A right circular cylinder has a radius of 6ft and a length of 18ft what is the volume of the cylinder?
    8·1 answer
  • How do you workout this question?
    14·2 answers
  • 1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is
    13·1 answer
  • 2y3 - 27 + 5y2 + (25 / 5)
    13·1 answer
  • Can someone please help me
    15·1 answer
  • Can anyone say me that how to proof congruency​
    5·1 answer
  • Please help me with 19 and 20
    10·1 answer
  • Ramesh buys 10 containers of juice from an online shop and 18 containers of the same juice from another shop.If the capacity of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!