Alejandro was asked to solve a system of linear equations by using the substitution method. what is the error in his work below? step 1: 4y + x = 15 −9x + 5y = 20 step 2: 4y + x = 15 x = 15 − 4y step 3: 4y + x = 15 4y + (15 − 4y) = 15 4y + 15 − 4y = 15 15 = 15 there are infinitely many solutions to the system of linear equations

Step 1:
4y + x = 15
−9x + 5y = 20

Step 2: correct
4y + x = 15
x = 15 − 4y

Step 3: wrong
4y + x = 15
4y + (15 − 4y) = 15 wrong step
4y + 15 − 4y = 15
15 = 15
***once you have solved for a variable in one equation, you substitute it in the other equation

Corrected Step 3:
−9x + 5y = 20
-9(15 - 4y) + 5y= 20
(-9*15) + (-9*-4y) + 5y= 20
-135 + 36y + 5y= 20
-135 + 41y= 20
add 135 to both sides
41y= 155
divide both sides by 41
y= 155/41 or 3 32/41 or 3.78

ANSWER: The x value in step 2 should have been substituted in the opposite equation in step 3. The y solution would then be 155/41 or 3 32/41 or 3.78

Hope this helps! :) Would love to be marked brainliest.

Where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. to write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. this is the value of m in the equation.

With out knowing the functions you have to chose form, this could be one.y = 5.00xx = hours worked and y = the money he will earn.