The ordered pair is (–1, –2)
Solution:
Given system of linear equations are
4x –7y = 10 – – – – (1)
3x + 2y = –7 – – – – (2)
To solve this by elimination method.
First multiply equation (1) by 3 and then multiply equation (2) by 4.
(1) × 3 ⇒ 12x –21y = 30 – – – – (3)
(2) × 4 ⇒ 12x + 8y = –28 – – – – (4)
Subtract equation (4) from equation (3), we get
⇒ 12x –21y – (12x + 8y) = 30 – (–28)
⇒ 12x –21y – 12x – 8y = 30 + 28
Combine like terms together.
⇒ 12x – 12x –21y – 8y = 30 + 28
⇒ –29y = 58
Divide both sides by –29, we get
⇒ y = –2
Substitute y = –2 in equation (1), we get
(1) ⇒ 4x –7y = 10
⇒ 4x – 7(–2) = 10
⇒ 4x + 14 = 10
⇒ 4x = 10 – 14
⇒ 4x = –4
Divide both side by 4, we get
⇒ x = –1
Hence the ordered pair for the given system of equations is (–1, –2).
Answer:
201.
Step-by-step explanation:
you can find the volume by multiplying its length, width, and height. since there are two figures in the equation you can find the total volume by adding up the two. the volume of the first figure is 10×3×4=120. the volume of the second figure is 3×8×3=81. by adding the two volumes, 120+81=201. this means that the volume of the entire figure is 201.
Are those answer options or the side lengths? And where is the trapezoid?
<span>1. Find all factor pairs of a number using a t-chart.
2.Find all the factor pairs of a number using area models.
3.Determine if a number is prime or composite using area models.
4.Find the greatest common factor of two numbers.
<span>5.Find the GCF of two numbers using the distributive property.</span></span>