To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4</span>
Answer:
14
Step-by-step explanation:
k
=
c
−
b
2
4
a
We know that
a
=
1
,
b
=
−
8
and
c
=
2
, so let's substitute:
k
=
2
−
(
−
8
)
2
4
(
1
)
=
2
−
64
4
=
2
−
16
=
−
14
.
So, we have
min
=
−
14
. Let's check:
graph{(x^2 - 8x + 2 - y)(-14 -y)=0 [-11.82, 20.22, -15.38, 0.64]}
−3.666667, hope that helps.
Answer:
Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.
Combine the two equations so that it’s 2x+5=4x-1 and then subtract 2x from both sides. now it’s 5=4x-1 and add 1 to both sides. now is 6=4x 6 divided by 4 is 1.5 so that is the x value. now sub 1.5 as the x value into the first equation so it’s y=2(1.5)+5. you do the math and it’s y=8 (because 1.5 times 2 is 3 and 3+5 is 8) then your point is (1.5,8)
