Question 9 of 15 (1 point)4.4 Section Exercise 15Use the problem-solving flowchart.The sum of four times a number and ten is equal to the difference of the number and seventeen.Find the number. Round your answer to the nearest integer, if necessary.AsThe number is

The number is -9Step-by-step explanation:Let x be the number then according to given statement[tex]4x+10 = x-17[/tex]Subtracting 10 from both sides[tex]4x+10-10 = x-17-10\\4x = x-27[/tex]Subtracting x from both sides[tex]4x-x = x-x-27\\3x = -27[/tex]Dividing both sides by 3[tex]\frac{3x}{3} = \frac{-27}{3}\\ x = -9[/tex]Verification:[tex]4(-9)+10 = -9-17\\-36+10=-26\\-26=-26[/tex]The number is -9Keywords: Linear equation, variablesLearn more about linear equation at:brainly.com/question/4767370brainly.com/question/4770453#learnwithBrainly