The sum of the digits in a two-digit number is 12. The digit in the tens place is 2 more than the digit in the ones place. The system of linear equations shown below represents this situation, where x is the digit in the tens place and y is the digit in the ones place. Solve the system to find the two-digit number. Lbrace x + y = 12 x − y = 2

The digit is 75

Step-by-step explanation:

x is the digit in the tens place

y is the digit in the ones place.

We are given a system of equations

x + y = 12 Equation 1

x - y = 2 Equation 2

Subtract Equation 2 from Equation 1

2y = 10

y = 10/2

y = 5

x - y = 2

x - 5 = 2

x = 2 + 5

x = 7

Since:

x is the digit in the tens place

x = 7 = 7 × 10 = 70

y is the digit in the ones place

y = 5 = 5 × 1 = 5

Hence, The digit is 75

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )