The sum of sally's age plus twice tomas' age is 12. the difference of sally's age and tomas' age is 3. write and solve a system of equations to find their ages.

x represents Sally's age. y represents Thomas's age.

x + 2y = 12

x –y = 3

Step-by-step explanation:

Solve by substitution. Rewrite the second equation to get a value for x.

x -y = 3 Add y to both sides so it becomes x = y+3

Substitute in place of x in the first equation.

x + 2y = 12 becomes

(y + 3) + 2y =12. Combine like terms.

3y + 3 = 12 Subtract 3 from both sides

3y = 12 –3

3y = 9 Divide both sides by 3

y = 3 Tomas

Substitute for y, solve for x

x + 2(3) = 12

x + 6 = 12 Subtract 6 from both sides.

x = 6 Sally

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

both triangles are similar because 2 is just smaller than the big one 1 is similar because they are facing different way's but are similar to each other

step-by-step explanation: