Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

The missing numbers are 18 and -12

Step-by-step explanation:

Let us explain the meaning of coincidental system of equations

• If an equation of a line is ax + by = c, and we multiply or divide all the terms by the same number n, then we will have another equation nax + nby = nc, which represents the same line as the first equation
• The two equations ax + by = c and nax + nby = nc form a coincidental system of two linear equations
• This system has many solutions (all the points on the line)

∵ 2x + 3y = -17 is one equation in a coincidental system of two

  linear equations

- To find the other equation multiply each term by n

∴ The second equation is 2nx + 3ny = -17n

∵ The other equation is _y = _x - 102

∵ The other equation is 2nx + 3ny = -17n

- Compare them to equate the like terms

- Subtract both sides by 2nx to have the same form of the other

   equation

∴ 3ny = -2nx - 17n

- Equate the numerical terms

∴ -17n = -102

- Divide both sides by -17

∴ n = 6

- Substitute the value of n in the other equation

∴ 3(6)y = -2(6)x - 17(6)

∴ 18y = -12x - 102

∴ The other equation is 18y = -12x - 102

The missing numbers are 18 and -12

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly